Relation Between Model Parameters and the Autocorrelation Sequence ?

− In the paper the relation between the autocorrelation function of time error series and the time of data-dependent computing of the Maximum Time Interval Error (MTIE) is studied. The first section introduces the problem of time effective MTIE assessment. Then the time effective data-dependent method of MTIE assessment is described. In the next section the influence of the shape of time error series autocorrelation function on the efficiency of the data-dependent MTIE search is described. The results of the calculation experiment performed for several time error series are presented

The quality of timing signals is essential for information transmission throughout telecommunication networks. Maximum Time Interval Error (MTIE), Allan deviation (ADEV), and time deviation (TDEV) are the parameters which give the information about the timing signal quality. Maximum Time Interval Error can be used for dimensioning the elastic buffers of the network circuitry located at the boundaries of areas timed by different time scales. ADEV and TDEV give the information about instability affecting the timing signal. The limit values of MTIE and TDEV for the particular types of clocks are defined and recommended in the telecommunication standards and requirements [1, 2, 3]. Computation of the parameter’s estimates and comparing them with the limits is an essential activity in the service and maintenance of telecommunications networks, so the obvious goal is to make the computation short in time.